32 is written as↓
--- 30 + 2 = 32
--- 30 × 15 = 450
15 can't written number because it doesn't have a number that goes with it, like how 32 does....
So, 15 × 32 = 480
We need to 'standardise' the value of X = 14.4 by first calculating the z-score then look up on the z-table for the p-value (which is the probability)
The formula for z-score:
z = (X-μ) ÷ σ
Where
X = 14.4
μ = the average mean = 18
σ = the standard deviation = 1.2
Substitute these value into the formula
z-score = (14.4 - 18) ÷ 1..2 = -3
We are looking to find P(Z < -3)
The table attached conveniently gives us the value of P(Z < -3) but if you only have the table that read p-value to the left of positive z, then the trick is to do:
1 - P(Z<3)
From the table
P(Z < -3) = 0.0013
The probability of the runners have times less than 14.4 secs is 0.0013 = 0.13%
Answer: and $475 deposited into the account on her birthdays by her 18th birthday.
Step-by-step explanation:
It is given that, on Gabriela’s first birthday, her parents gave her a $50 savings account.
Initial term :
On every birthday after that her parents added to the account, increasing the amount they deposited by $25 each year.
Common difference :
It forms an AP: 50,75,100,...
nth term of an AP is
Substitute and in the above formula.
It represents the amount deposited into the account after n birthdays.
We need to find the amount by her 18th birthday.
Put n=18 in the above equation.
Therefore, $475 deposited into the account on her birthdays by her 18th birthday.
The final solution for y is
where e = ∈
Graph details as follows
Domain: x ∈ ℝ
Minimum : ( - 3, - 7)
y-intercept : (0, 20)
Answer:
<em>The area of Marlien's living room is 420 square ft</em>
Step-by-step explanation:
Before calculating the real dimensions of Marlien's living room, we must find the value of x.
Given the total shape of the house is a rectangle, then both widths must be equal and both lengths must be equal.
The widths are already written width identical expressions x-2+x, but the lengths are given as different functions of x. Equating both expressions, we have:
Simplifying:
-10 + x - 2 = 2
x = 10 + 2 + 2
x = 14
Since x=14 feet, the dimensions of Marlien's living room are
width=x=14 feet
length=2x+2=30 feet
Thus the area is:
A = 14*30 = 420 square ft
The area of Marlien's living room is 420 square ft